Marco ten Eikelder

Marco ten Eikelder

Computational Mechanics

Publications

Journal articles
  1. Under review
    M.F.P. ten Eikelder, D. Schillinger
    The divergence-free velocity formulation of the consistent Navier-Stokes Cahn-Hilliard model with non-matching densities, divergence-conforming discretization, and benchmarks,
    https://arxiv.org/abs/2311.09966, 2023
    PDF paper
  2. Under review
    M.L. Mika, M.F.P. ten Eikelder, D. Schillinger, R.R. Hiemstra
    Matrix-free polynomial preconditioning of saddle point systems using the hyper-power method
    https://arxiv.org/abs/2311.06926, 2023
    PDF paper
  3. Under review
    A. Ebrahem, M.F.P. ten Eikelder
    T. Gangwar, M.L. Mika, D. Schillinger, Connecting continuum poroelasticity with discrete synthetic vascular trees for modeling liver tissue
    https://arxiv.org/abs/2306.07412, 2023
    PDF paper
  4. Under review
    M.F.P. ten Eikelder, K.G. van der Zee, D. Schillinger
    Thermodynamically consistent diffuse-interface mixture models of incompressible multicomponent fluids,
    https://arxiv.org/abs/2302.09287, 2023
    PDF paper
  5. Under review
    J. Lotz, M.F.P. ten Eikelder, I. Akkerman
    A space-time framework for periodic flows with applications to hydrofoils,
    https://arxiv.org/abs/2211.10964, 2022
    PDF paper
  6. M.F.P. ten Eikelder, S.K.F. Stoter, Y. Bazilevs, D. Schillinger
    Constraints for eliminating the Gibbs phenomenon in finite element approximation spaces,
    Mathematical Models and Methods in Applied Sciences, 2023 (to appear)
    https://www.worldscientific.com/doi/10.1142/S0218202524500040
    PDF paper
  7. M.F.P. ten Eikelder, K.G. van der Zee, I. Akkerman, D. Schillinger
    A unified framework for Navier-Stokes Cahn-Hilliard models with non-matching densities,
    Mathematical Models and Methods in Applied Sciences 33, 175-221, 2023
    https://www.worldscientific.com/doi/abs/10.1142/S0218202523500069
    PDF paper
  8. M.F.P. ten Eikelder, I. Akkerman
    A novel diffuse-interface model and a fully-discrete maximum-principle-preserving energy-stable method for two-phase flow with surface tension and non-matching densities,
    Computer Methods Applied Mechanics and Engineering 379: 113751, 2021
    https://www.sciencedirect.com/science/article/pii/S0045782521000876
    PDF paper
  9. S.K.F. Stoter, M.F.P. ten Eikelder, F. de Prenter, I. Akkerman, E.H. van Brummelen, C.V. Verhoosel, D. Schillinger
    Nitsche’s method as a variational multiscale formulation and a resulting boundary layer fine-scale model,
    Computer Methods Applied Mechanics and Engineering 382: 113878, 2021
    https://www.sciencedirect.com/science/article/abs/pii/S0045782521002152
    PDF paper
  10. I. Akkerman, J.H.A. Meijer, M.F.P. ten Eikelder
    Isogeometric analysis of linear free-surface potential flow,
    Ocean Engineering 201: article 107114, 2020
    https://www.sciencedirect.com/science/article/abs/pii/S0029801820301803
    PDF paper
  11. M.F.P. ten Eikelder, Y. Bazilevs, I. Akkerman
    A theoretical framework for discontinuity capturing: Joining variational multiscale analysis and variation entropy theory,
    Computer Methods Applied and Mechanics Engineering 359: article 112664, 2020
    https://www.sciencedirect.com/science/article/abs/pii/S0045782521002152
    PDF paper
  12. M.F.P. ten Eikelder, I. Akkerman
    Variation entropy: a continuous local generalization of the TVD property using entropy principles,
    Computer Methods Applied Mechanics and Engineering 355: 261-283, 2019
    https://www.sciencedirect.com/science/article/abs/pii/S0045782519303664
    PDF paper
  13. I. Akkerman, M.F.P. ten Eikelder
    Toward free-surface flow simulations with correct energy evolution: an isogeometric level-set approach with monolithic time-integration,
    Computers and Fluids 181: 77-89, 2019
    https://www.sciencedirect.com/science/article/abs/pii/S0045793019300118
    PDF paper
  14. M.F.P. ten Eikelder, I. Akkerman
    Correct energy evolution of stabilized formulations: The relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. II: The incompressible Navier-Stokes equations,
    Computer Methods Applied Mechanics and Engineering 340: 1135-1159, 2018
    https://www.sciencedirect.com/science/article/abs/pii/S0045782518301105
    PDF paper
  15. M.F.P. ten Eikelder, I. Akkerman
    Correct energy evolution of stabilized formulations: The relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. I: The convective-diffusive context,
    Computer Methods Applied Mechanics and Engineering 331: 259-280, 2018
    https://www.sciencedirect.com/science/article/abs/pii/S004578251730720X
    PDF paper
  16. M.F.P. ten Eikelder, F. Daude, B. Koren, A.S. Tijsseling
    An acoustic-convective splitting-based approach for the Kapila two-phase flow model,
    Journal of Computational Physics 331: 188-208, 2017
    https://www.sciencedirect.com/science/article/abs/pii/S0021999116306234
    PDF paper


Conference proceedings

  1. M.F.P. ten Eikelder, I. Akkerman, R. van 't Veer
    Correct energy behavior in two-fluid flow,
    Proceedings of the 20th Numerical Towing Tank Symposium - NuTTS'17
    Wageningen, the Netherlands (October 2017)

  2. M.F.P. ten Eikelder, F. Daude, B. Koren
    A Lagrange-Projection-Like Numerical Scheme for Mixed Acoustic-Convective Two-Phase Flows
    Proceedings of the ASME 2016 Pressure Vessels and Piping Conference - PVP 2016
    Vancouver, Canada (July 2016), paper PVP2016-63539